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Airida [17]
3 years ago
15

If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?

Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

sin(-\theta)=\frac{3}{4}

Step-by-step explanation:

Given:

180°<θ<270° and sin(\theta)=-\frac{3}{4}

We know for any angle \theta,

sin(-\theta)=-sin(\theta)

∴sin(-\theta)=-(-\frac{3}{4})=\frac{3}{4}

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If a=3 and b=5 , then ab/15 + a(6+7b) =
stich3 [128]

Answer:

124

Step-by-step explanation:

3x5/15=1

1+3(6+35)

1+18+105=

124

8 0
3 years ago
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Kamal wrote the augmented matrix below to represent a system of equations
ra1l [238]

Consider the operation is R_2\to -3R_2.

Given:

The augmented matrix below represents a system of equations.

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

To find:

Matrix results from the operation R_2\to -3R_2.

Step-by-step explanation:

We have,

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

After applying R_2\to -3R_2, we get

\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]

\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]

Therefore, the correct option is A.

3 0
3 years ago
Which of the following pairs of functions are inverses of each other ​
Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \  \ \ g(x)  = 4x -10

Taking f(x):

\rm f(x) = \dfrac{x}{4}+10

To find the inverse of a function interchange the x and y variables:

f(x) → x

x  → g(x)

\rm x = \dfrac{g(x)}{4}+10

Solving:

4x = g(x) + 10

g(x) = 4x - 10

Similarly, we can find the inverse of a function.

Thus, option (A) represents the function and its inverse of a function option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
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In a random sample of 85 people attending a workshop, 63 of the respondents said the workshop was useful. What is the sample pro
SVETLANKA909090 [29]
Divide the number of respondents saying it was useful by the total number
63/85 = 0.74
8 0
3 years ago
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Write an expression to represent: Four minus the product of one and a number x.
kvasek [131]

Answer:

4 - x

Step-by-step explanation:

product means multiply

the product of 1 and x = 1 × x = x

This is then subtracted ( minus ) from 4 giving

4 - x ← expression representing the situation


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2 years ago
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